In this paper, the time-periodic solution to the compressible viscous quantum magnetohydrodynamic model in a periodic domain is studied. Under the boundedness assumption on the external force, we prove the existence of the time-periodic solution by using the topological degree theory and parabolic regularization method. Furthermore, the uniqueness of the time-periodic solution is shown.

中文翻译：

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可压缩粘性量子磁流体力学模型的时间周期解

本文研究了周期域中可压缩粘性量子磁流体动力学模型的时间周期解。在外力的有界假设下，利用拓扑度理论和抛物线正则化方法证明了时间周期解的存在性。此外，还显示了时间周期解的唯一性。